| Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity |
| Li, SJ; Zhang, ZT
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| 2001-07-01
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| 发表期刊 | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
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| ISSN | 1006-9283
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| 卷号 | 44期号:7页码:856-866 |
| 摘要 | In this paper, Fucik spectrum, ordinary differential equation theory of Banach spaces and Morse theory are used to study semilinear elliptic boundary value problems with jumping nonlinearities; at zero or infinity, and some new results on the existence of nontrivial solutions, multiple solutions and sign-changing solutions are obtained. In one case seven nontrivial solutions are got. The techniques have independent interest. |
| 关键词 | Fucik spectrum
critical points
critical groups
sign-changing solutions
Dirichlet problems
jumping nonlinearities
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| 语种 | 英语
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| WOS研究方向 | Mathematics
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| WOS类目 | Mathematics, Applied
; Mathematics
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| WOS记录号 | WOS:000171856500006
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| 出版者 | SCIENCE PRESS
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| 引用统计 |
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| 文献类型 | 期刊论文
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| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/16696
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| 专题 | 数学所
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| 通讯作者 | Li, SJ |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China
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推荐引用方式
GB/T 7714 |
Li, SJ,Zhang, ZT. Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2001,44(7):856-866.
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| APA |
Li, SJ,&Zhang, ZT.(2001).Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,44(7),856-866.
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| MLA |
Li, SJ,et al."Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 44.7(2001):856-866.
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